Geodesic
Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3)
Gavin D. Brown1 ; Miles Reid1 ; Jan Stevens2
1University of Warwick, Coventry, UK
2Chalmers University of Technology, Gothenburg, Sweden; University of Gothenburg, Sweden
EMS surveys in mathematical sciences, Tome 8 (2021), pp. 25-38

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DOI

This is a first introduction to unprojection methods, and more specifically to Tom and Jerry unprojections. These two harmless tricks deserve to be better known, since they answer many practical questions about constructing codimension 4 Gorenstein subschemes. In particular, we discuss here the two smoothing components of the anticanonical cone over P(1, 2, 3).
DOI : 10.4171/emss/43
Classification : 13-XX, 14-XX
Mots-clés : Unprojection, Pfaffians, deformations, codimension 4 Gorenstein ring

Gavin D. Brown  1   ; Miles Reid  1   ; Jan Stevens  2

1 University of Warwick, Coventry, UK
2 Chalmers University of Technology, Gothenburg, Sweden; University of Gothenburg, Sweden 
Gavin D. Brown; Miles Reid; Jan Stevens. Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3). EMS surveys in mathematical sciences, Tome 8 (2021), pp. 25-38. doi: 10.4171/emss/43
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     title = {Tutorial on {Tom} and {Jerry:} the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3)},
     journal = {EMS surveys in mathematical sciences},
     pages = {25--38},
     year = {2021},
     volume = {8},
     doi = {10.4171/emss/43},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/43/}
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